Tuesday  Wednesday  Thursday  Friday  
8:00  9:00  Registration  
9:00  10:00 
Plenary Talk H.D.I. Abarbanel 
Plenary Talk E. BenJacob 
Plenary Talk S. Rahmstorf 
Minisymposia MS FRI 13 
9:00  11:00  
10:00  10:30  coffee  
10:30  12:30 
Minisymposia MS TUE 13 
Minisymposia MS WED 13 
Contributed talks CS THU 13  
coffee  11:00  11:30  
Contributed talks CS FRI 13 
11:30  12:30  
12:30  14:00  lunch 
Plenary Talk F. Varela 
12:30  13:30  
lunch  13:30   
14:00  15:00 
Plenary Talk B. Fiedler 
Poster Session 
Plenary Talk H. Hinrichsen 

15:00  16:00 
Plenary Talk C. Beenakker 
Plenary Talk J. Keating 

16:00  16:30  coffee  
16:30  17:30 
Minisymposia MS TUE 46 
Plenary Talk D. Lohse 
Minisymposia MS THU 13 

17:30  18:30 
Plenary Talk I. Rehberg 

18:30  
Buffet Poster Session 
Buffet Poster Session 

Henry D.I. Abarbanel (San Diego) Tuesday, 910h 
Nonlinear Dynamics of Small Networks of Neurons Working from observations in our laboratory of the membrane voltage of neurons in a biological control circuit in the digestive system of the lobster, we have determined the number of degrees of freedom of neural oscillations ofr isolated neurons. We have built numerical and analog electronic versions of a neuron model in four dimensions and tested it in various ways using configurations identical to those we can create among biological neurons. Building on these tests of the reality of the model neuron we have now conducted experiments on how information flows in networks (small) built from the electronic neurons. The chaotic behavior observed in biological and in electronic neurons provides interesting new phenomena in neural circuits. 
Bernold Fiedler (FU Berlin) Tuesday, 1415h 
Dynamics of spirals and scroll waves Spiral wave patterns arise in such diverse systems as convective fluids, surface catalysis, heart tissue [Wiener], and the BelousovZhabotinsky medium. Scroll waves are threedimensional stacks of rotating spiral waves, with spiral tips aligned along filament curves [Winfree]. Going beyond planar spiral wave motions and kinematic theory, we introduce and explore the crossover collision as the only generic possibility for scroll wave filaments to change their topological knot or linking structure. Our analysis is based on elementary singularity theory, Thom transversality, and mathematical properties of reaction diffusion systems. The approach applies to changes of filament structures in three space dimensions, in general. The crossover collisions are illustrated by numerical video simulations. This is joint work with Rolf Mantel. http://www.mathematik.unibielefeld.de/documenta/vol05/21.html 
Carlo W.J. Beenakker (Leiden) Tuesday, 1516h 
Chaotic wave dynamics The interplay of chaotic scattering and localization has profound effects on the dynamics of wave propagation. We review recent progress in the theory of this topic, and illustrate it with experimental results from optics, electronics, and seismology. The Laguerre ensemble of randommatrix theory is shown to describe the lowfrequency dynamics. A dynamical coherent backscattering effect is predicted theoretically but not yet observed in experiments. 
Eshel BenJacob (Tel Aviv Univ.) Wednesday, 910h 
The scaling and chaotic behavior of in vitro neural networks Cortical neurons are organized into functional subunits (cortical columns) with characteristic length of 1mm. We study the longterm spontaneous activity of isolated networks below, at and above the 1mm length scale, looking for the functionform relations. A multielectrode array measured the longterm (days) network activity with different geometries. Here we show that the network activity can be represented by the time sequence of the synchronized bursting events (SBE), in analogy to the use of action potential to describe the individual neurons activity. We find that invitro networks functionally selforganize to adapt to imposed geometry: all network types exhibit scaleinvariant behavior as the interSBE intervals (IEI) obey the Levy distribution. The neurons' interspike intervals also obey Levy distribution, but up to 100ms  the SBE time width. All networks exhibit longrange temporal correlation manifested by power law decay in the power spectrum of the SBE time sequence. The combination of the long term measurements and analysis of the internal structure of the SBE may indicade that in vitro networks exhibit both deterministic and chaotic behavior. Our observation differ from predictions of the current neural networks models which exhibit Gaussian distribution and lack time correlations. 
Detlef Lohse (Twente) Wednesday, 16:3017:30h 
On the sound of snapping shrimp Alpheus heterochaelis (``the snaping shrimp'') generates noise so loud that it disturbes submarine communication. It was believed that the noise is generated when the claw rapidly closes and its two sides hit each other. However, in this work we show with the help of high speed video (40000 frames/second) and parallel sound detection with a hydrophone that the origin of the noise in fact is a collapsing cavitation bubble: When rapidly closing the pair of sissors, the shrimp emits a thin water jet so fast that a cavitation bubble develops. This collapses and on collapse, it emits the sound. Our optical and acoustical measurements are supplemented through a simple theoretical model of the proces, based on the RayleighPlesset equation. 
Ingo Rehberg (Bayreuth) Tuesday, 17:3018:30h 
Pattern formation in complex fluids Experimental observations of pattern in 3 different complex fluids, namely nematic liquid crystal, magnetic fluids and sand, are presented. The first ones are used because they have specific advantes, like the direct obervability of hydrodynamic fluctuations in nematic liquid crystals or the excitability of surface waves by magnetic fields in ferrofluids. Sand has the disadvante to be too complex, and pattern formation might be used as a tool for quantitative investigations in order to check our level of understanding of this material. 
Stefan Rahmstorf (PIK Potsdam) Thursday, 910h 
Abrupt climate change  a nonlinear response of the climate system?
Data from the Greenland ice cores and deep sea sediments reveal that large and abrupt climate changes (within ~10 years) have occurred frequently in the past. In the absence of abrupt climate forcing, this suggests a highly nonlinear response of the climate system to gradual forcing. The talk attempts to summarise our current knowledge of the causes and mechanisms of abrupt climate changes. In particular, possible bifurcations and instabilities of the Atlantic ocean circulation will be discussed. The question whether future climate change could involve nonlinear "surprises" will also be considered. 
Haye Hinrichsen (Wuppertal) Thursday, 1415h 
Wetting under nonequilibrium conditions Wetting phenomena are observed in a large variety of experiments where a gas phase in contact with a surface coexists with a thin layer of a different phase. By changing temperature or chemical potential, such a system may undergo a wetting transition from a nonwet phase, where the thickness of the layer stays finite, to a wet phase, where the layer grows until it reaches a macroscopic size. So far, most theoretical studies were based on interface models at thermal equilbrium. However, in various experimental situations the interface separating layer and gas phase is out of equilibrium. The talk addresses the question how nonequilibrium wetting processes can be described and what kind of new phenomena can be expected. 
Jon Keating (Bristol) Thursday, 1516h 
Periodic orbit bifurcations and quantum fluctuation
statistics Bifurcations of periodic orbits are characteristic of mixed phase space classical dynamics. Several important consequences of the generic bifurcations in twodegreeoffreedom systems for the statistical properties of energy levels and eigenfunctions in the semiclassical limit will be discussed. In particular, the the talk will focus on the emergence of universality from competitions between the various possible bifurcations. 
Francisco Varela (LENA Pris) Friday, 12:3013:30h 

Tuesday, 10:30  12:30  
MS TUE1 T. Dittrich (Bogotá): Quantum Chaos 
MS TUE2 P. Grassberger (Jülich): Soft Matter 
MS TUE3 R. Mantegna: Econophysics 








Per Bak (London) 



Tuesday, 16:30  18:30  
MS TUE4 I. Procaccia (Rehovot): Turbulence 
MS TUE5 P. Reimann: Stochastic Processes 
MS TUE6 E. Frey: Biophysics 












Wednesday, 10:30  12:30  
MS WED1 D. Helbing: Traffic and Granular Flow 
MS WED2 B. Mehlig: Semiclassics 
MS WED3 J. Kurths: Neural and Medical Dynamics 












Thursday, 16:30  18:30  
MS THU1 H. Chaté: Spacetime Chaos, Synchronisation 
MS THU2 R. Klages: Nonequilibrium Statistical Mechanics 
MS THU3 L. Smith: Time Series Analysis 












Friday, 9:00  11:00  
MS FRI1 H. Emmerich: Complex Growth 
MS FRI2 C. Grebogi: Chaotic advection 
MS FRI3 E. Govekar: Applications in Engineering 












Thursday, 10:30  12:30  
CS THU1  CS THU2  CS THU3 


















Friday, 11:30  12:30  
CS FRI1  CS FRI2  CS FRI3 








